The value of term a11 is 21k - 43.
The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same value.
The formula of Arithmetic progression is
a(n) = a1 + (n - 1)d
given that the term of arithmetic sequence and common difference,
a1 = k+7 and d = 2k-5.
now find the value of term a11.
a(n) = a1 + (n - 1)d
now, substitute a(n) = a11, a1 = k+7, d = 2k-5.
a11 = k+7 + (11 - 1)(2k-5)
a11 = k + 7 + 10(2k-5)
a11 = k +7+ 20k - 50
a11 = 21k - 43
Hence,The value of term a11 is 21k - 43.
Learn more about Arithmetic progression from here:
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